Period Spaces for P-Divisible Groups

by Rapoport, Michael; Zink, th

• ISBN13: 9780691027814
• ISBN10: 0691027811
• Format: Paperback
• Copyright: 1995-12-22
• Publisher: Princeton Univ Pr

Summary

In this monographp-adic period domains are associated to arbitrary reductive groups. Using the concept of rigid-analytic period maps the relation ofp-adic period domains to moduli space ofp-divisible groups is investigated. In addition, non-archimedean uniformization theorems for general Shimura varieties are established. The exposition includes background material on Grothendieck's "mysterious functor" (Fontaine theory), on moduli problems ofp-divisible groups, on rigid analytic spaces, and on the theory of Shimura varieties, as well as an exposition of some aspects of Drinfelds' original construction. In addition, the material is illustrated throughout the book with numerous examples.

Table of Contents

Introduction
p-adic symmetric domains	p. 3
Quasi-isogenies of p-divisible groups	p. 49
Moduli spaces of p-divisible groups	p. 69
Appendix: Normal forms of lattice chains	p. 131
The formal Hecke correspondences	p. 197
The period morphism and the rigid-analytic coverings	p. 229
The p-adic uniformization of Shimura varieties	p. 273
Bibliography	p. 317
Index	p. 323
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